Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies

Abstract

In this paper, we present an accurate method of moments (MoM) solution of the combined field integral equation (CFIE) using the multilevel fast multipole algorithm (MLFMA) for scattering by large, three-dimensional (3-D), arbitrarily shaped, homogeneous objects. We first investigate several different MoM formulations of CFIE and propose a new formulation, which is both accurate and free of interior resonances. We then employ MLFMA to significantly reduce the memory requirement and computational complexity of the MoM solution. Numerical results are presented to demonstrate the accuracy and capability of the proposed method. The method can be extended in a straightforward manner to scatterers composed of different homogeneous dielectric and conducting objects.

Parallel Mom Solution of Jmcfie for Scattering by 3-D Electrically Large Dielectric Objects

“…The surface integral equation (SIE) approach is often preferred because it limits the discretization of the unknown quantity to the surface of the object. In order to formulate the surface integral equation, several ways have been proposed, including the PMCHW formulation [1], the TENENH formulation [2] and the JMCFIE formulation [3][4][5] and so on. In this paper, we will describe the JMCFIE formulation in detail, which is a combination of two CFIEs [6], denoted by JCFIE (CFIE for the electric surface current J) and MCFIE (CFIE for the magnetic surface current M).…”

Solution to Electromagnetic Scattering by Bi-Isotropic Media Using Multilevel Green's Function Interpolation Method

“…The method of moments (MoM) [5,6], the finite difference time domain (FDTD) approach [7,8] and T-matrix method [9], etc., have been developed to solve EM scattering by complex bodies consisting of the bi-isotropic media. When the BI objects are homogeneous or piecewise homogeneous, MoM is preferred because it limits the discretization of the unknown quantities to the surfaces of the objects and the discontinuous interfaces between different materials [10][11][12][13]. Despite this, the computational requirements for MoM solution of this type of problems are still very high.…”

Numerical Analysis of Combined Field Integral Equation Formulations for Electromagnetic Scattering by Dielectric and Composite Objects

“…Formulations where EFIEs and MFIEs are mixed, i.e., CFIE type formulations, are also possible. However, by directly combining the EFIEs and MFIEs in a similar manner as in the PEC-CFIE [4], yields an unstable formulation [5][6][7]. As a remedy to this problem, a special testing procedure [5], and a new formulation, electric and magnetic current CFIE (JM-CFIE) [7], have been proposed.…”

“…However, by directly combining the EFIEs and MFIEs in a similar manner as in the PEC-CFIE [4], yields an unstable formulation [5][6][7]. As a remedy to this problem, a special testing procedure [5], and a new formulation, electric and magnetic current CFIE (JM-CFIE) [7], have been proposed. CFIEs have also been applied in the case of composite metallic and dielectric objects [7][8][9].…”